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Finding the Fourth Proportional to 61,253.76, 84,530.24 and 34,398.88

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Solution

The fourth proportional to 61,253.76, 84,530.24 and 34,398.88 is: 47,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,253.76 : 84,530.24 = 34,398.88 : x
  2. Step 2: Convert to fraction form
    61,253.76/84,530.24 = 34,398.88/x
  3. Step 3: Cross multiply
    61,253.76x = 84,530.24 × 34,398.88
  4. Step 4: Simplify right side
    61,253.76x = 2,907,745,582.13
  5. Step 5: Solve for x
    x = 2,907,745,582.13/61,253.76
  6. Step 6: Final answer
    x = 47,470.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.